Right Triangles
This acronym helps students remember the ratios for sine, cosine, and tangent.
What is SOHCAHTOA?
This is the standard period of the y = sin(x) function in radians.
What is 2pi?
sin^2+ cos^2 is always equal to this number.
What is 1?
This is the radian equivalent of 180 degrees.
What is pi?
In a right triangle, it is the ratio of the adjacent side to the hypotenuse.
What is cosine?
This term refers to the vertical height from the centerline to the peak of a wave.
What is amplitude?
This identity defines tan x as a quotient of two other trig functions.
What is (in x /cos x)?
At 90 °, the cosine value is this.
What is zero?
If a right triangle has legs of length 3 and 4, this is the length of the hypotenuse.
What is 5.
This is the only one of the "big three" functions (sin, cos, tan) that has a period of pi.
What is tangent?
This is the simplified form of 1 + tan^2 x.
What is sec^2 x?
These two quadrants are where the Sine function is positive.
What are quadrants I and II?
This is the reciprocal of the sine function.
What is cosecant?
In the equation y = sin(x - c), the variable c represents this type of horizontal movement.
What is phase shift?
The Double Angle formula for sin(2x) is expressed as this.
What is 2sin(x)cos(x)?
This is the exact value of sin 210 °
What is -1/2?
This theorem states that a^2 + b^2 = c^2 for any right triangle.
What is the Pythagorean Theorem?
These are the specific x-values where the graph of y = tan(x) becomes undefined.
What are Vertical Asymptotes (at pi/2 + npi)?
This is the identity for 1- cos^2 x
What is sin^2 x?
This is the coordinate (x, y) of a point on the unit circle at 300 °.
What is (1/2 , rad 3/2)?